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11423701464 = 233779881977
BaseRepresentation
bin10101010001110011…
…11101100111011000
31002111010201011101020
422220321331213120
5141343431421324
65125321322440
7553042601040
oct125071754730
932433634336
1011423701464
114932421a9a
122269936420
131100947086
147a5284720
1546cd85679
hex2a8e7d9d8

11423701464 has 128 divisors (see below), whose sum is σ = 33123686400. Its totient is φ = 3215646720.

The previous prime is 11423701451. The next prime is 11423701483. The reversal of 11423701464 is 46410732411.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11692144 + ... + 11693120.

It is an arithmetic number, because the mean of its divisors is an integer number (258778800).

Almost surely, 211423701464 is an apocalyptic number.

11423701464 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11423701464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16561843200).

11423701464 is an abundant number, since it is smaller than the sum of its proper divisors (21699984936).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11423701464 is a wasteful number, since it uses less digits than its factorization.

11423701464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1953 (or 1949 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The spelling of 11423701464 in words is "eleven billion, four hundred twenty-three million, seven hundred one thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 79 84 158 168 237 316 474 553 632 881 948 977 1106 1659 1762 1896 1954 2212 2643 2931 3318 3524 3908 4424 5286 5862 6167 6636 6839 7048 7816 10572 11724 12334 13272 13678 18501 20517 21144 23448 24668 27356 37002 41034 49336 54712 69599 74004 77183 82068 139198 148008 154366 164136 208797 231549 278396 308732 417594 463098 487193 540281 556792 617464 835188 860737 926196 974386 1080562 1461579 1620843 1670376 1721474 1852392 1948772 2161124 2582211 2923158 3241686 3442948 3897544 4322248 5164422 5846316 6025159 6483372 6885896 10328844 11692632 12050318 12966744 18075477 20657688 24100636 36150954 48201272 67998223 72301908 135996446 144603816 203994669 271992892 407989338 475987561 543985784 815978676 951975122 1427962683 1631957352 1903950244 2855925366 3807900488 5711850732 11423701464